摘要
研究了从上半平面的Hardy空间到增长型空间和Bloch空间上的加权复合算子有界性的充要条件,给出了上半平面增长型空间上的加权复合算子有界性的充要条件,利用上半平面增长型空间和圆盘增长型空间之间的同构,获得了圆盘增长型空间上的加权复合算子有界性的充要条件.
This paper discuss sufficient and necessary conditions for boundedness of Weighted composition operator from the Hardy space into the Growth space and the Bloch space on the upper half-plane,and also get sufficient and necessary conditions for boundedness of weighted composition operator on the Growth spaces of the upper half-plane.Using isomorphism of the Growth spaces of the upper half-plane and the Growth spaces of the unit disc,some sufficient and necessary conditions for weighted composition operator on the Growth spaces of the unit disc to be bounded are obtained.
出处
《应用泛函分析学报》
CSCD
2011年第2期195-200,共6页
Acta Analysis Functionalis Applicata
基金
国家自然科学基金(10771064
10971195)
浙江省自然科学基金(Y6090689)
